> thought GitHub invented git

Putting the generic term into your corporation's name can be effective means of claiming things that don't belong to you.

Jon Postel reserved 44.0.0.0/8 for a generic purpose: "amateur radio digital communications." Decades later, there was a successful heist when some enterprising individuals incorporated "Amateur Radio Digital Communications LLC" and misrepresented to ARIN that the assignment had actually been theirs. Immediately after ARIN gave them transfer rights, they pocketed 8 figures reselling the space to Amazon.

Github obviously isn't making explicit claims like this but they benefit whenever people with purchasing power implicitly understand that github is the only option.